Theorems · Theorem · order theory

Right.one_lt_mul_of_left

∀ {α : Type u_1} [inst : MulOneClass α] [inst_1 : Preorder α] [IsBotOneClass α] [MulRightStrictMono α] {a : α},
  1 < a → ∀ (b : α), 1 < a * b

Defined in: Mathlib.Algebra.Order.Monoid.Unbundled.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 9 from the axioms · uses no axioms
Assumes: MulOneClass Preorder IsBotOneClass MulRightStrictMono

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Preorderstatement and proof · cited by 7,952
MulOneClassstatement and proof · cited by 1,018
MulRightStrictMonostatement and proof · cited by 108
IsBotOneClassstatement and proof · cited by 35
one_leproof · cited by 23
Right.one_lt_mul_of_lt_of_leproof · cited by 1

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.